What is (5.6*10^{-10})(0.3) ?

The solution to (5.6*10^{-10})(0.3) is 21/125000000000

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simplify (5.6*10^{-10})(0.3)

simplify

(5.6 \cdot 1 0^{- 10}) (0.3)

\frac{21}{125000000000}

Decimal Notation

1.68 E - 10

Solution steps

(5.6 \cdot 1 0^{- 10}) (0.3)

Apply rule:

(a) = a

(0.3) = 0.3

= 5.6 \cdot 1 0^{- 10} \cdot 0.3

Multiply the numbers:

5.6 \cdot 0.3 = 1.68

= 1.68 \cdot 1 0^{- 10}

= 1 0^{- 10} \cdot 1.68

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

1 0^{- 10} = \frac{1}{1 0 ^{10}}

= \frac{1}{1 0 ^{10}} \cdot 1.68

\frac{1}{1 0 ^{10}} \cdot 1.68 = \frac{1.68}{1 0 ^{10}}

= \frac{1.68}{1 0 ^{10}}

\frac{1.68}{1 0 ^{10}} = \frac{168}{100 \cdot 1 0 ^{10}}

= \frac{168}{100 \cdot 1 0 ^{10}}

Factor the number:

168 = 4 \cdot 42

= \frac{4 \cdot 42}{100 \cdot 1 0 ^{10}}

Factor the number:

100 = 4 \cdot 25

= \frac{4 \cdot 42}{4 \cdot 25 \cdot 1 0 ^{10}}

Cancel the common factor:

4

= \frac{42}{25 \cdot 1 0 ^{10}}

Factor the number:

42 = 2 \cdot 21

= \frac{2 \cdot 21}{25 \cdot 1 0 ^{10}}

Factor

1 0^{10} : 2^{10} \cdot 5^{10}

= \frac{2 \cdot 21}{25 \cdot 2 ^{10} \cdot 5 ^{10}}

\frac{2}{2 ^{10}} = \frac{1}{2 ^{9}}

= \frac{21}{25 \cdot 2 ^{9} \cdot 5 ^{10}}

25 \cdot 2^{9} \cdot 5^{10} = 125000000000

= \frac{21}{125000000000}

5325 \cdot (3.89 \cdot 1 0^{- 6})

e^{- 213863.37} \cdot 6

5 e^{40 j} \cdot 3 e^{- 20 j}

e^{- 4} \cdot \frac{4 ^{4}}{4 !}

- 5 x^{3} y \cdot (x y^{2})

What is (5.6*10^{-10})(0.3) ?
The solution to (5.6*10^{-10})(0.3) is 21/125000000000